(1/(x+5))+(1/(x-5))=(1/(x+7))

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Solution for (1/(x+5))+(1/(x-5))=(1/(x+7)) equation: 


D( x )

x+7 = 0

x-5 = 0

x+5 = 0

x+7 = 0

x+7 = 0

x+7 = 0 // - 7

x = -7

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

x in (-oo:-7) U (-7:-5) U (-5:5) U (5:+oo)

1/(x+5)+1/(x-5) = 1/(x+7) // - 1/(x+7)

1/(x+5)+1/(x-5)-(1/(x+7)) = 0

1/(x+5)+1/(x-5)-(x+7)^-1 = 0

1/(x+5)+1/(x-5)-1/(x+7) = 0

(1*(x-5)*(x+7))/((x+5)*(x-5)*(x+7))+(1*(x+5)*(x+7))/((x+5)*(x-5)*(x+7))+(-1*(x+5)*(x-5))/((x+5)*(x-5)*(x+7)) = 0

1*(x-5)*(x+7)+1*(x+5)*(x+7)-1*(x+5)*(x-5) = 0

2*x^2-x^2+14*x+25 = 0

x^2+14*x+25 = 0

x^2+14*x+25 = 0

x^2+14*x+25 = 0

DELTA = 14^2-(1*4*25)

DELTA = 96

DELTA > 0

x = (96^(1/2)-14)/(1*2) or x = (-96^(1/2)-14)/(1*2)

x = (4*6^(1/2)-14)/2 or x = (-4*6^(1/2)-14)/2

(x-((-4*6^(1/2)-14)/2))*(x-((4*6^(1/2)-14)/2)) = 0

((x-((-4*6^(1/2)-14)/2))*(x-((4*6^(1/2)-14)/2)))/((x+5)*(x-5)*(x+7)) = 0

((x-((-4*6^(1/2)-14)/2))*(x-((4*6^(1/2)-14)/2)))/((x+5)*(x-5)*(x+7)) = 0 // * (x+5)*(x-5)*(x+7)

(x-((-4*6^(1/2)-14)/2))*(x-((4*6^(1/2)-14)/2)) = 0

( x-((-4*6^(1/2)-14)/2) )

x-((-4*6^(1/2)-14)/2) = 0 // + (-4*6^(1/2)-14)/2

x = (-4*6^(1/2)-14)/2

( x-((4*6^(1/2)-14)/2) )

x-((4*6^(1/2)-14)/2) = 0 // + (4*6^(1/2)-14)/2

x = (4*6^(1/2)-14)/2

x in { (-4*6^(1/2)-14)/2, (4*6^(1/2)-14)/2 }

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